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Finding the Fourth Proportional to 338,993, 467,824.92 and 188,090

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Solution

The fourth proportional to 338,993, 467,824.92 and 188,090 is: 259,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,993 : 467,824.92 = 188,090 : x
  2. Step 2: Convert to fraction form
    338,993/467,824.92 = 188,090/x
  3. Step 3: Cross multiply
    338,993x = 467,824.92 × 188,090
  4. Step 4: Simplify right side
    338,993x = 87,993,189,202.80
  5. Step 5: Solve for x
    x = 87,993,189,202.80/338,993
  6. Step 6: Final answer
    x = 259,572.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.